{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d7ea9173-3dee-4641-8bfe-d583318ccbc1",
   "metadata": {},
   "source": [
    "# NURBS - Parabolic Mirror\n",
    "\n",
    "Author: Matteo Taccola"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c743d2ab-52d0-4817-ae9a-48f6e570f10e",
   "metadata": {},
   "source": [
    "This example shows how to use the NURBS geometry without passing explicitly the parameters that define the NURBS (control points, weights etc).\n",
    "If a radius (and optionally a conic constant) are defined and no control points are passed the NURBS is generated as a surface approximation of the base conic.\n",
    "Please note that this can be easily expanded to the fitting of every other possible surface (asphere,zernike etc.) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "039b1bba-a055-4d2e-b9cb-5c7cce30044f",
   "metadata": {},
   "outputs": [],
   "source": [
    "from optiland.geometries import NurbsGeometry"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "751466e7-9bd6-4dce-a35e-4b04c32e9d20",
   "metadata": {},
   "outputs": [],
   "source": [
    "from optiland import analysis, optic, optimization\n",
    "from optiland.coordinate_system import CoordinateSystem\n",
    "from optiland.materials import IdealMaterial, Material\n",
    "from optiland.surfaces import Surface\n",
    "import optiland.backend as be"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7f9d656-e741-48b5-ab6e-3bc8b10d70d1",
   "metadata": {},
   "source": [
    "Generate NURBS reflector approximating parabola surface"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23462a60-67d9-4038-ab28-553b5c535060",
   "metadata": {},
   "source": [
    "Surface parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b352a076-2591-45af-b22a-3ef02f550417",
   "metadata": {},
   "outputs": [],
   "source": [
    "radius = -100.0\n",
    "conic = -1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e39b43a-87ef-4795-bd6a-b8fff2b3ba21",
   "metadata": {},
   "source": [
    "Coordinate system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bc083324-21bf-4a32-af13-6fb3316682d1",
   "metadata": {},
   "outputs": [],
   "source": [
    "cs = CoordinateSystem(x=0, y=0, z=0, rx=0, ry=0, rz=0, reference_cs=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20cdb3bd-8fdc-4298-975c-e2634e138715",
   "metadata": {},
   "source": [
    "Generate geometry. if control points are passed radius and conic are ignored and the surface is built as NURBS from control points and weights.\n",
    "In this case we pass a base conic profile (parabola).\n",
    "The surface is generated deriving a grid of control points (in this case a 7x7 grid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "77e7e6be-9114-41df-bc30-a1c6aeccabb2",
   "metadata": {},
   "outputs": [],
   "source": [
    "nurbs_geo = NurbsGeometry(\n",
    "    coordinate_system=cs,\n",
    "    radius = radius,\n",
    "    conic=conic, \n",
    "    n_points_u = 7, \n",
    "    n_points_v = 7, \n",
    ")        "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cfebc2b1-bfc0-454f-8fdd-50c6568b07d5",
   "metadata": {},
   "source": [
    "Generate surface. Both materials pre and post are air"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b0b2ea78-d4f4-49fe-b3b6-f7d76095f1d8",
   "metadata": {},
   "outputs": [],
   "source": [
    "material_pre = IdealMaterial(n=1.0)\n",
    "material_post = IdealMaterial(n=1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b48a7e4a-aa55-4a78-adfa-4342d4177a39",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_surface = Surface(\n",
    "    geometry=nurbs_geo,\n",
    "    material_pre=material_pre,\n",
    "    material_post=material_post,\n",
    "    is_stop=True,\n",
    ")\n",
    "\n",
    "# Change interaction model to reflective\n",
    "new_surface.interaction_model.is_reflective = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ec6605aa-c7fa-41ce-b3be-30d76b354eda",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = optic.Optic()\n",
    "\n",
    "# add surfaces\n",
    "lens.add_surface(index=0, radius=be.inf, thickness=be.inf)\n",
    "lens.add_surface(\n",
    "    index=1,\n",
    "    new_surface=new_surface,\n",
    "    thickness=-50,\n",
    ")\n",
    "lens.add_surface(index=2)\n",
    "\n",
    "EPD = 20.0  # entrance pupil diameter\n",
    "\n",
    "# add aperture\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=EPD)\n",
    "\n",
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.55, is_primary=True)\n",
    "\n",
    "lens.update_paraxial()  #This is needed to assign the NURBS aperture and perform the surface fitting \n",
    "\n",
    "_ = lens.draw(num_rays=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41721c2a-cf8c-4a45-9fd5-570d25c52e4e",
   "metadata": {},
   "source": [
    "Check that the spot is a 'point' as expected from a parabola.\n",
    "Deviations from a point are linked to surface fit accuracy. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "91572d33-076d-42c5-81de-cdd6951e2b04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spot = analysis.SpotDiagram(lens,num_rings=18)\n",
    "_ = spot.view() "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "618f5976-e18f-4c1a-8881-ab062aa096c4",
   "metadata": {},
   "source": [
    "Let's introduce a decenter to have an off axis parabola"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d2487da6-858a-4fb6-99eb-c60c6f16a15e",
   "metadata": {},
   "outputs": [],
   "source": [
    "dy = 20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1d524c6b-1701-4215-8583-a2637ff6bd69",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens.surface_group.surfaces[1].geometry.cs.y = dy"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d75aec23-c20a-4a39-ac83-2a29c7b33b95",
   "metadata": {},
   "source": [
    "The function `fit_surface` defines the NURBS parameters that fit the surface profile on a rectangular aperture with center `(x_center, ycenter)` and sides $2*norm_x$ and $2*norm_y$.\n",
    "Since the decenter of the parabola is dy a new fit of the surface should be performed with `y_center = -dy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "8bff24fb-9764-477f-acea-4660b11f32bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens.surface_group.surfaces[1].geometry.y_center = -dy"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63804dc3-d8be-4edd-a710-9b90da626128",
   "metadata": {},
   "source": [
    "Call `fit_surface` function to compute again control points and weights that approximate the parabola"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "62fc4859-6883-4344-a536-31d74a6fbbbc",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens.surface_group.surfaces[1].geometry.fit_surface()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b1242cc-0da9-41b2-872c-06d4ffea822b",
   "metadata": {},
   "source": [
    "Draw lens. \n",
    "Note how the NURBS surface doesn't fit the parabola in the region outside the optical aperture where the fit was not performed. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "7d4fd0bd-47f0-4129-85bd-1b272d3c1c22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = lens.draw(num_rays=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "3066ae10-f676-49e5-a462-28c27b08c251",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spot = analysis.SpotDiagram(lens,num_rings=18)\n",
    "_ = spot.view() "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd4870e9-b3dc-471a-9e03-b570a24c4620",
   "metadata": {},
   "source": [
    "To verify that the surface outside the fit area is 'uncontrolled' let's increase the beam aperture and trace more rays. The rays outside the fitted area follows 'uncontrolled' reflection   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "63b4944f-ea32-4830-bf56-189b87cd1de6",
   "metadata": {},
   "outputs": [],
   "source": [
    "lens.set_aperture(aperture_type=\"EPD\", value=2.0*EPD)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "5df49b56-de0e-4ea2-8f9a-44943b046730",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = lens.draw(num_rays=10)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "optiland (3.13.2)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
